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A recent theory about the origin of the gravity suggests that the gravity is originally an entropic force. In this work, we discuss the effects of generalized uncertainty principle (GUP) which is proposed by some approaches to quantum gravity such as string theory, black hole physics, and doubly special relativity theories (DSR), on the area law of the entropy. This leads to a

The earliest idea about the connection between gravitation and the existence of a fundamental length was proposed in [

In a one-dimensional chain as the Ising model, when assuming that every single spin is positioned at a distance

Recently, Verlinde proposed that the gravity is not a fundamental force and can be considered as an entropic force [

Apart from the controversial debate on the origin of gravity [

There were some studies for the effect of some versions of GUP on Newton's law of gravity in [

The present paper is organized as follows. Section

It is conjectured that the standard commutation relations at short distances would be modified. A new form of GUP was proposed [

For a particle having an energy scale comparable to Planck's one, the physical momentum would be a subject of modification [

This newly proposed GUP suggests that the space is quantized into fundamental units which may be the Planck length. The quantization of space has been shown within the context of loop quantum gravity in [

In a series of earlier papers, the effects of GUP were investigated on atomic, condensed matter, preheating phase of the universe systems, black holes at LHC [^{17}, which would approximately gives ^{−1}. The other bound of ^{10}. This bound means that ^{−1}. As discussed in [

Recently, it has been suggested in [

In Section

Recently, Verlinde [

Turning to the holographic principle which assumes that, for any closed surface without worrying about its geometry inside, all physics can be represented by the degrees of freedom on this surface itself. This implies that the quantum gravity can be described by a topological quantum field theory, for which all physical degrees of freedom can be projected onto the boundary [

In Section

Taking into consideration the GUP approach [

We should keep in mind that the numerical factor, 2.82, should be modified by the grey-body factors which arise due to the spacetime curvature around the black hole, but for simplicity we are just ignoring this modification.

From Hawking’s uncertainty proposed by Scardigli in [

In order to have a corresponding inequality for (

Because the energy change reads

For a black hole absorbing a quantum particle with energy

Although it was found in [

We conclude that the entropy is directly related to the area and gets a correction when applying GUP approach. The temperature of the black hole is

In this section we study the implications of the corrections calculated for the entropy in (

In this paper, we tackle the consequences of the quantum gravity on the entropic force approach which assumes a new origin of the gravitational force. We found that the quantum gravity corrections lead to a modification in the area law of the entropy which leads to a modification in the number of bits

The research of A. F. Ali is supported by Benha University. The research of AT has been partly supported by the German-Egyptian Scientific Projects (GESP ID: 1378). A. F. Ali and A. N. Tawfik would like to thank Professor Antonino Zichichi for his kind invitation to attend the International School of Subnuclear Physics 2012 at the “Ettore Majorana Foundation and Centre for Scientific Culture” in Erice, Italy, where the present work was started. The authors gratefully thank the anonymous referee for useful comments and suggestions which helped to improve the paper.